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Finding the Fourth Proportional to 5,784.93, 8,687.99 and 5,296.96

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Solution

The fourth proportional to 5,784.93, 8,687.99 and 5,296.96 is: 7,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.93 : 8,687.99 = 5,296.96 : x
  2. Step 2: Convert to fraction form
    5,784.93/8,687.99 = 5,296.96/x
  3. Step 3: Cross multiply
    5,784.93x = 8,687.99 × 5,296.96
  4. Step 4: Simplify right side
    5,784.93x = 46,019,935.51
  5. Step 5: Solve for x
    x = 46,019,935.51/5,784.93
  6. Step 6: Final answer
    x = 7,955.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.